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Finding the Fourth Proportional to 259,753, 358,459.62 and 140,521

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Solution

The fourth proportional to 259,753, 358,459.62 and 140,521 is: 193,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,753 : 358,459.62 = 140,521 : x
  2. Step 2: Convert to fraction form
    259,753/358,459.62 = 140,521/x
  3. Step 3: Cross multiply
    259,753x = 358,459.62 × 140,521
  4. Step 4: Simplify right side
    259,753x = 50,371,104,262.02
  5. Step 5: Solve for x
    x = 50,371,104,262.02/259,753
  6. Step 6: Final answer
    x = 193,919.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.